820997567 has 16 divisors (see below), whose sum is σ = 906111360. Its totient is φ = 739221600.

The previous prime is 820997563. The next prime is 820997587. The reversal of 820997567 is 765799028.

It is not a de Polignac number, because 820997567 - 2² = 820997563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820997563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96392 + ... + 104562.

It is an arithmetic number, because the mean of its divisors is an integer number (56631960).

Almost surely, 2^820997567 is an apocalyptic number.

820997567 is a deficient number, since it is larger than the sum of its proper divisors (85113793).

820997567 is a wasteful number, since it uses less digits than its factorization.

820997567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374.

The product of its (nonzero) digits is 1905120, while the sum is 53.

The square root of 820997567 is about 28653.0551076146. The cubic root of 820997567 is about 936.3695665903.

The spelling of 820997567 in words is "eight hundred twenty million, nine hundred ninety-seven thousand, five hundred sixty-seven".